100798798464 has 1024 divisors, whose sum is σ = 387502080000. Its totient is φ = 25604812800.

The previous prime is 100798798453. The next prime is 100798798481. The reversal of 100798798464 is 464897897001.

100798798464 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 9 + 87 + 98 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 477719319 + ... + 477719529.

It is an arithmetic number, because the mean of its divisors is an integer number (378420000).

Almost surely, 2^100798798464 is an apocalyptic number.

100798798464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100798798464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193751040000).

100798798464 is an abundant number, since it is smaller than the sum of its proper divisors (286703281536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100798798464 is a wasteful number, since it uses less digits than its factorization.

100798798464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 100798798464 in words is "one hundred billion, seven hundred ninety-eight million, seven hundred ninety-eight thousand, four hundred sixty-four".